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3341952 = 2733967
BaseRepresentation
bin1100101111111010000000
320021210022000
430233322000
51323420302
6155344000
740256205
oct14577200
96253260
103341952
111982949
121152000
139001b3
1462dcac
1546031c
hex32fe80

3341952 has 64 divisors (see below), whose sum is σ = 9873600. Its totient is φ = 1112832.

The previous prime is 3341903. The next prime is 3341953. The reversal of 3341952 is 2591433.

3341952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×33419522 = 22337286340608, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3341953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2973 + ... + 3939.

It is an arithmetic number, because the mean of its divisors is an integer number (154275).

Almost surely, 23341952 is an apocalyptic number.

3341952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3341952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4936800).

3341952 is an abundant number, since it is smaller than the sum of its proper divisors (6531648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3341952 is an equidigital number, since it uses as much as digits as its factorization.

3341952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 972 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 3341952 is about 1828.1006536840. The cubic root of 3341952 is about 149.5087931950.

The spelling of 3341952 in words is "three million, three hundred forty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 967 1152 1728 1934 2901 3456 3868 5802 7736 8703 11604 15472 17406 23208 26109 30944 34812 46416 52218 61888 69624 92832 104436 123776 139248 185664 208872 278496 371328 417744 556992 835488 1113984 1670976 3341952